-
Characterizations and Infinite Divisibility of Extended COM-Poisson Distribution
Issue:
Volume 1, Issue 1, September 2015
Pages:
1-4
Received:
9 August 2015
Accepted:
26 August 2015
Published:
27 August 2015
DOI:
10.11648/j.ijsd.20150101.11
Downloads:
Views:
Abstract: This article provides some characterizations of extended COM-Poisson distribution: conditional distribution given the sum, functional operator characterization (Stein identity). We also give some conditions such that the extended COM-Poisson distribution is infinitely divisible, hence some subclass of extended COM-Poisson distributions are discrete compound Poisson distribution.
Abstract: This article provides some characterizations of extended COM-Poisson distribution: conditional distribution given the sum, functional operator characterization (Stein identity). We also give some conditions such that the extended COM-Poisson distribution is infinitely divisible, hence some subclass of extended COM-Poisson distributions are discrete...
Show More
-
Analysis of the Variable Life Insurance Based on Log-Normal Distribution
Issue:
Volume 1, Issue 1, September 2015
Pages:
5-11
Received:
20 August 2015
Accepted:
28 August 2015
Published:
2 September 2015
DOI:
10.11648/j.ijsd.20150101.12
Downloads:
Views:
Abstract: Fixed rate, premiums and insurance coverage for policyholders and insurance companies in traditional life insurance have increased certain risks. For this reason, we consider studying variable life insurance. The biggest difference between the two insurance is that whether the actual death benefit of volatility is changeable. This paper studied the change of the premium when the premium changes in proportion to the death benefit and when it is fixed. And, it put forward a way to pay the death benefit, named “pay off increasing amount insurance”. Finally, this paper simulated the mean and variance of the death benefit using Monte Carlo method, and also compared the advantage and disadvantages of each approach.
Abstract: Fixed rate, premiums and insurance coverage for policyholders and insurance companies in traditional life insurance have increased certain risks. For this reason, we consider studying variable life insurance. The biggest difference between the two insurance is that whether the actual death benefit of volatility is changeable. This paper studied the...
Show More
-
Optimal Search and Rescue Model: Updating Probability Density Map of Debris Location by Bayesian Method
Issue:
Volume 1, Issue 1, September 2015
Pages:
12-18
Received:
5 September 2015
Accepted:
16 September 2015
Published:
16 September 2015
DOI:
10.11648/j.ijsd.20150101.13
Downloads:
Views:
Abstract: Optimizing search and rescue plan for the distressed planes calls for analysis of the debris location as well as a systematic way of searching. The searching plan consists of three main parts: simulating possible trajectory, produce a probability density map of the debris' location and generating an optimal searching plan using Dinkelbach's algorithm. Besides, the Bayesian inference is discussed to update the probability density map of the objects' location.
Abstract: Optimizing search and rescue plan for the distressed planes calls for analysis of the debris location as well as a systematic way of searching. The searching plan consists of three main parts: simulating possible trajectory, produce a probability density map of the debris' location and generating an optimal searching plan using Dinkelbach's algorit...
Show More
-
Two-Sided Generalized Gumbel Distribution with Application to Air Pollution Data
Issue:
Volume 1, Issue 1, September 2015
Pages:
19-26
Received:
21 September 2015
Accepted:
6 October 2015
Published:
14 October 2015
DOI:
10.11648/j.ijsd.20150101.14
Downloads:
Views:
Abstract: We introduce a univariate generalized form of the Gumbel distribution via two-sided distribution structure. We obtain its some properties such as special cases, density shapes, hazard rate function and moments. We give the maximum likelihood estimators of this two-sided generalized Gumbel distribution with an algorithm. Finally, a real data application based on air pollution data is given to demonstrate that it has real data modeling potential.
Abstract: We introduce a univariate generalized form of the Gumbel distribution via two-sided distribution structure. We obtain its some properties such as special cases, density shapes, hazard rate function and moments. We give the maximum likelihood estimators of this two-sided generalized Gumbel distribution with an algorithm. Finally, a real data applica...
Show More
-
Using Maximum Likelihood Ratio Test to Discriminate Between the Inverse Gaussian and Gamma Distributions
Issue:
Volume 1, Issue 1, September 2015
Pages:
27-32
Received:
27 September 2015
Accepted:
8 October 2015
Published:
14 October 2015
DOI:
10.11648/j.ijsd.20150101.15
Downloads:
Views:
Abstract: One of the problems that appear in reliability and survival analysis is how we choose the best distribution that fitted the data. Sometimes we see that the handle data have two fitted distributions. Both inverse Gaussian and gamma distributions have been used among many well-known failure time distributions with positively skewed data. The problem of selecting between them is considered. We used the logarithm of maximum likelihood ratio as a test for discriminating between these two distributions. The test has been carried out on six different data sets.
Abstract: One of the problems that appear in reliability and survival analysis is how we choose the best distribution that fitted the data. Sometimes we see that the handle data have two fitted distributions. Both inverse Gaussian and gamma distributions have been used among many well-known failure time distributions with positively skewed data. The problem ...
Show More
